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Finding the Third Proportional to 103,197 and 210,767

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Solution

The third proportional to 103,197 and 210,767 is: 430,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,197 : 210,767 = 210,767 : x
  2. Step 2: Convert to fraction form
    103,197/210,767 = 210,767/x
  3. Step 3: Cross multiply
    103,197x = 210,767 × 210,767
  4. Step 4: Simplify right side
    103,197x = 44,422,728,289
  5. Step 5: Solve for x
    x = 44,422,728,289/103,197
  6. Step 6: Final answer
    x = 430,465.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.